The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  2 2a+2  1  0  1  1 2a 2a+2  1  1  1  1  1  1  1  1  1  1 2a+2  1  2  1  2  0 2a  1  1  1 2a  2  1  1 2a+2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0
 0  1  0  0  2 2a+2  1 3a+2 3a+3  1  a 2a+3 2a+3 a+3  a  1 3a+2 a+1 a+1  1  1 3a+2 2a+2 2a+1 2a+3  1  1  2  a 2a a+2  0 3a+1 3a+1 3a+3  2  1  1 a+3  1 2a+3  1  1  2 2a+2 3a+2  2  1  0  3 3a+2  1 a+1  a 2a+1 3a+3 a+2  a  0 a+3 2a  0 2a+3 3a+1  3 3a+1 2a+3 3a+2  1
 0  0  1  1 3a+2 3a+3  3 2a+3 2a+1 3a+3  0 2a  a 2a a+2 3a+1 3a+1  a a+1 3a+2  1 a+1  1 3a+1  2 3a+2 a+1  a  0 2a+3 2a+3 3a+3 3a+1 2a+1  2  1 3a 2a+2 3a  0  3 3a+2 3a  1 3a+3 3a+2 a+1 2a+1  1 2a 3a+1 2a+1 3a+1 3a+2 3a+2  1 3a+3 2a+2 2a+1  0 3a 3a+2 3a 2a 2a+1  3  2  2  0
 0  0  0 2a+2  0  0 2a+2 2a+2 2a+2  2 2a  2  0 2a  0 2a+2  0 2a  0 2a+2 2a+2 2a 2a+2 2a 2a+2 2a  0 2a+2 2a+2 2a  0 2a  2 2a  2  2 2a 2a 2a+2 2a+2  2  0  2  2 2a 2a+2 2a+2 2a+2 2a  0 2a 2a 2a+2 2a  0 2a+2 2a+2  2  0  0  0  2 2a+2 2a+2 2a  2  2  0 2a

generates a code of length 69 over GR(16,4) who´s minimum homogenous weight is 196.

Homogenous weight enumerator: w(x)=1x^0+1449x^196+3057x^200+3459x^204+2868x^208+2805x^212+1536x^216+873x^220+321x^224+6x^228+3x^232+6x^240

The gray image is a code over GF(4) with n=276, k=7 and d=196.
This code was found by Heurico 1.16 in 1.22 seconds.